8002261 has 2 divisors, whose sum is σ = 8002262. Its totient is φ = 8002260.

The previous prime is 8002259. The next prime is 8002271. The reversal of 8002261 is 1622008.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6220036 + 1782225 = 2494^2 + 1335^2 .

It is a cyclic number.

It is not a de Polignac number, because 8002261 - 2¹ = 8002259 is a prime.

It is a super-2 number, since 2×8002261² = 128072362224242, which contains 22 as substring.

Together with 8002259, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8002201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4001130 + 4001131.

It is an arithmetic number, because the mean of its divisors is an integer number (4001131).

Almost surely, 2^8002261 is an apocalyptic number.

It is an amenable number.

8002261 is a deficient number, since it is larger than the sum of its proper divisors (1).

8002261 is an equidigital number, since it uses as much as digits as its factorization.

8002261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 8002261 is about 2828.8267886175. The cubic root of 8002261 is about 200.0188398919.

Adding to 8002261 its reverse (1622008), we get a palindrome (9624269).

The spelling of 8002261 in words is "eight million, two thousand, two hundred sixty-one".